Theorems · Definition · category theory
CategoryTheory.EnrichedNatTrans.out
{V : Type v} →
[inst : CategoryTheory.Category.{w, v} V] →
[inst_1 : CategoryTheory.MonoidalCategory V] →
{C : Type u₁} →
[inst_2 : CategoryTheory.EnrichedCategory V C] →
{D : Type u₂} →
[inst_3 : CategoryTheory.EnrichedCategory V D] →
{F G : CategoryTheory.EnrichedFunctor V C D} → CategoryTheory.EnrichedNatTrans F G → (F.forget ⟶ G.forget)The underlying natural transformation of an enriched transformation.
- Defined in
- Mathlib.CategoryTheory.Enriched.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
- CategoryTheory.ForgetEnrichmentstatement · cited by 50
- CategoryTheory.EnrichedFunctorstatement and proof · cited by 49
- CategoryTheory.EnrichedFunctor.forgetstatement · cited by 24
- CategoryTheory.EnrichedNatTransstatement and proof · cited by 4
Cited by18
Results whose statement or proof uses this declaration.
- CategoryTheory.EnrichedCat.whiskerRightproof · cited by 3
- CategoryTheory.EnrichedFunctor.hom_extstatement and proof · cited by 3
- CategoryTheory.EnrichedCat.whiskerLeftproof · cited by 2
- CategoryTheory.EnrichedCat.whiskerRight_out_appstatement and proof · cited by 2
- CategoryTheory.EnrichedCat.whiskerLeft_out_appstatement and proof · cited by 1
- CategoryTheory.EnrichedFunctor.isoMk_hom_outstatement and proof · cited by 0
- CategoryTheory.EnrichedFunctor.isoMk_inv_outstatement and proof · cited by 0
- CategoryTheory.EnrichedCat.associator_hom_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.associator_inv_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.comp_whiskerRightstatement and proof · cited by 0
- CategoryTheory.EnrichedCat.leftUnitor_hom_out_appstatement · cited by 0
- CategoryTheory.EnrichedCat.leftUnitor_inv_out_appstatement · cited by 0